A new superconvergence property of nonconforming rotated Q(1) element in 3D
文献类型：期刊论文
| 作者 | Ming, Pingbing; Shi, Zhong-Ci ; Xu, Yun
|
| 刊名 | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
 |
| 出版日期 | 2007 |
| 卷号 | 197期号:1-4页码:95-102 |
| 关键词 | superconvergence nonconforming rotated Q(1) element numerical integration |
| ISSN号 | 0045-7825 |
| DOI | 10.1016/j.cma.2007.07.013 |
| 英文摘要 | Nonconforming rotated Q(1) finite element method is used to approximate the general second-order elliptic problem in 3D. A new superconvergence property at eight vertices and six face centers of each element is proved. Several cheap numerical integration schemes are proposed for solving the discrete problem, which include schemes with only two nodes. All schemes yield optimal H-1, L-2 error bounds as well as the superconvergence property. Extensive numerical results are presented to confirm the theoretic prediction. (c) 2007 Elsevier B.V. All rights reserved. |
| WOS研究方向 | Engineering ; Mathematics ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000251209900007 |
| 出版者 | ELSEVIER SCIENCE SA |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4928]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Ming, Pingbing |
| 作者单位 | Chinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ming, Pingbing,Shi, Zhong-Ci,Xu, Yun. A new superconvergence property of nonconforming rotated Q(1) element in 3D[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2007,197(1-4):95-102. |
| APA | Ming, Pingbing,Shi, Zhong-Ci,&Xu, Yun.(2007).A new superconvergence property of nonconforming rotated Q(1) element in 3D.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,197(1-4),95-102. |
| MLA | Ming, Pingbing,et al."A new superconvergence property of nonconforming rotated Q(1) element in 3D".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 197.1-4(2007):95-102. |
入库方式： OAI收割
来源：数学与系统科学研究院
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